Some rigidity theorems for Finsler manifolds of sectional flag curvature
Bing Ye Wu (2010)
Archivum Mathematicum
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In this paper we study some rigidity properties for Finsler manifolds of sectional flag curvature. We prove that any Landsberg manifold of non-zero sectional flag curvature and any closed Finsler manifold of negative sectional flag curvature must be Riemannian.